Q11. - Geometry

Question

In exercises $8-13$ find the angle or the arc named.

                          $\stackrel{⏜}{GE}$

Step-by-Step Solution

Answer

The measure of arc $\stackrel{⏜}{GE}$ is $110.$

Step 1. Given information:

The given figure is,

Step 2. Concept used:

In the circle the arc of the circle can be calculated by adding the given arcs of the circle related to the asked arc.

Step 3. Applying the concept:

Here, we can see that in the figure

     $\begin{array}{l}m\stackrel{⏜}{GE}=m\stackrel{⏜}{GF}+m\stackrel{⏜}{FE}\\ \text{ =}60+50\\ \text{ =}110\end{array}$ 

    Therefore, the measure of the arc $GE$ is $110.$